TY - JOUR
T1 - Periods of hyperelliptic integrals expressed in terms of θ-constants by means of Thomae formulae
AU - Enolski, V.
AU - Richter, P.
PY - 2008/3/28
Y1 - 2008/3/28
N2 - Expressions for the periods of first- and second-kind integrals on hyperelliptic curves are given in terms of θ-constants. They are derived with the help of Thomae's classical formulae and Picard-Fuchs equations for complete integrals as functions of the parameters of the curves. The example of genus 2 is considered in detail.
AB - Expressions for the periods of first- and second-kind integrals on hyperelliptic curves are given in terms of θ-constants. They are derived with the help of Thomae's classical formulae and Picard-Fuchs equations for complete integrals as functions of the parameters of the curves. The example of genus 2 is considered in detail.
UR - http://www.scopus.com/inward/record.url?partnerID=yv4JPVwI&eid=2-s2.0-38849149153&md5=278467025762673258c68076b6b9e690
U2 - 10.1098/rsta.2007.2059
DO - 10.1098/rsta.2007.2059
M3 - Article
AN - SCOPUS:38849149153
VL - 366
SP - 1005
EP - 1024
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
SN - 1364-503X
IS - 1867
ER -